Séminaire lotharingien de combinatoire, Tome 63 (2010)
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Jean-Christophe Aval; Xavier Viennot. The Product of Trees in the Loday-Ronco Algebra through Catalan Alternative Tableaux. Séminaire lotharingien de combinatoire, Tome 63 (2010). http://geodesic.mathdoc.fr/item/SLC_2010_63_a7/
@article{SLC_2010_63_a7,
author = {Jean-Christophe Aval and Xavier Viennot},
title = {The {Product} of {Trees} in the {Loday-Ronco} {Algebra} through {Catalan} {Alternative} {Tableaux}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2010},
volume = {63},
url = {http://geodesic.mathdoc.fr/item/SLC_2010_63_a7/}
}
TY - JOUR
AU - Jean-Christophe Aval
AU - Xavier Viennot
TI - The Product of Trees in the Loday-Ronco Algebra through Catalan Alternative Tableaux
JO - Séminaire lotharingien de combinatoire
PY - 2010
VL - 63
UR - http://geodesic.mathdoc.fr/item/SLC_2010_63_a7/
ID - SLC_2010_63_a7
ER -
%0 Journal Article
%A Jean-Christophe Aval
%A Xavier Viennot
%T The Product of Trees in the Loday-Ronco Algebra through Catalan Alternative Tableaux
%J Séminaire lotharingien de combinatoire
%D 2010
%V 63
%U http://geodesic.mathdoc.fr/item/SLC_2010_63_a7/
%F SLC_2010_63_a7
The aim of this note is to show how the introduction of certain tableaux, called Catalan alternative tableaux, provides a very simple and elegant description of the product in the Hopf algebra of binary trees defined by Loday and Ronco. Moreover, we use this description to introduce a new associative product on the space of binary trees.
